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Finding the Fourth Proportional to 853.35, 1,177.02 and 824.77

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Solution

The fourth proportional to 853.35, 1,177.02 and 824.77 is: 1,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.35 : 1,177.02 = 824.77 : x
  2. Step 2: Convert to fraction form
    853.35/1,177.02 = 824.77/x
  3. Step 3: Cross multiply
    853.35x = 1,177.02 × 824.77
  4. Step 4: Simplify right side
    853.35x = 970,770.79
  5. Step 5: Solve for x
    x = 970,770.79/853.35
  6. Step 6: Final answer
    x = 1,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.